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jek_recluse [69]
3 years ago
8

About 14% of the population of a large country is math phobic. if two people are randomly selected, what is the probability both

are math phobic? what is the probability at least one is math phobic
Mathematics
1 answer:
kotegsom [21]3 years ago
7 0
Probability of both : 0.14 time 0.14 probability of at least one : i minus the probability of neither probability of neither :0.86 time 0.86
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Please hawlp pls.......
Amiraneli [1.4K]

Answer:

(a) A(x)=160x-2x^{2}

(b) x=40\textrm{ m}

(c) Maximum area=3200 square meters

Step-by-step explanation:

(a)

Given:

Total length for fencing = 160 m

Width of the rectangle = x m.

Let the other length of the rectangle be y m.

Then, from the figure,

x+y+x=160\\2x+y=160\\y=160-2x

Now, area of a rectangle is equal to the product of its length and width.

So, area is, A(x)=xy=x(160-2x)=160x-2x^{2}

(b)

Given:

A(x)=160x-2x^{2}

For maximum area, derivative of area with respect to x must be 0.

So, \frac{dA}{dx}=0\\\frac{d}{dx}(160x-2x^{2})=0\\160-4x=0\\4x=160\\x=\frac{160}{4}=40\textrm{ m}

Therefore, for maximum area, x=40\textrm{ m}.

(c)

Given:

A(x)=160x-2x^{2}

Maximum area occurs at x=40. Plug in 40 for x in A(x) expression. This gives,

Maximum area is,

A(x=40)=160(40)-2(40)^{2}\\A(x=40)=6400-2\times 1600\\A(x=40)=6400-3200=3200\textrm{ }m^{2}

Therefore, maximum area is 3200 square meters.

3 0
4 years ago
What units are used to measure both velocity and speed
mylen [45]

Answer:

Speed and velocity are both measured using the same units. The SI unit of distance and displacement is the meter. The SI unit of time is the second. The SI unit of speed and velocity is the ratio of two — the meter per second.  I hope that this is useful information.

Step-by-step explanation:

6 0
3 years ago
8x-4y=20. What is y simplified?
madam [21]
If you mean trying to figure out what “y” is without the 4. first you have to get the 4y by itself. To do that, subtract 8x from the left side and subtract it from the right side.
-4y=20-8x
Then subtract everything by -4
y=-5+2x
I believe that is the answer (bolded part)
5 0
4 years ago
Read 2 more answers
What is n plus 6 divided by 2​
Mariana [72]

Answer:

n=12

Step-by-step explanation:

n can be multiple answers, but I'm pretty sure if you multiply 6*2 you will get 12. Since you want to do with distributive property.

12+6/2=9

4 0
4 years ago
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I don’t understand? Somebody please help
Marrrta [24]

Answer:

X = -1/3, 1/3

Step-by-step explanation:

6x^2 - x = 1

(subtract 1 from both sides)

6x^2 - x - 1 = 0

(factor)

(6x - 3) (6x + 2)

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(2x - 1) (3x + 1)

(Solve for x in each parentheses)

2x-1= 0 and 3x+1=0

X= -1/2 X= -1/3

7 0
3 years ago
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